54054864000 has 384 divisors, whose sum is σ = 201328807680. Its totient is φ = 14413593600.

The previous prime is 54054863927. The next prime is 54054864007. The reversal of 54054864000 is 46845045.

54054864000 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 4 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×54054864000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54054864007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3881049 + ... + 3894951.

It is an arithmetic number, because the mean of its divisors is an integer number (524293770).

Almost surely, 2^54054864000 is an apocalyptic number.

54054864000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54054864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100664403840).

54054864000 is an abundant number, since it is smaller than the sum of its proper divisors (147273943680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54054864000 is an equidigital number, since it uses as much as digits as its factorization.

54054864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13947 (or 13913 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 54054864000 in words is "fifty-four billion, fifty-four million, eight hundred sixty-four thousand".